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How does 1 sigma represent 68.8 percent of the total area under a normal curve?
Wiki User
∙ 10y ago
1 sigma does not represent 68.8 percent of anything.
The area under the standard normal curve, between -0.5 and +0.5, that i, the central 1 sigma, is equal to 0.68269 or 68.3%.
Wiki User
∙ 10y ago
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What percentage of the data in a normal distribution is represented by 1 SD of a sample?
Assuming that we have a Normal Distribution of Data, approx. 65% of the data will fall within One Sigma.
How do you generate a Gaussian bell shape graph when you have a mean and standard deviation and absolutely no other data?
The Gaussian "Bell" Curve has probability density function: f(x)= exp{-((x-mu)2/(2*sigma2)) } / (sigma*sqrt(2*pi)) where mu=mean & sigma=standard deviation
The probability density of the standardized normal distribution is?
The probability density of the standardized normal distribution is described in the related link. It is the same as a normal distribution, but substituted into the equation is mean = 0 and sigma = 1 which simplifies the formula.
Compute the population mean margin of error for a 90 percent confidence interval when sigma is 4 and the sample size is 36?
1.0966
What is the six sigma error rate?
what is eoor 2% at 2 sigma
How do the width and height of a normal distribution curve?
By standard practice, the normal distribution curve should be normalized so that the area under the curve is 1. This results in a height, at the mean, of about 0.4, i.e. the probability of a sample value being equal to the mean is 40 percent. The width of the normal distribution curve is infinite, as the tails are asymptotic to the X axis. It is easier to understand that the +/- one sigma area is 68.2 percent, the +/- two sigma area is 95.4 percent, and the +/- three sigma area is 99.6 percent.
The area under a normal curve with mu equals 8 and sigma equals 3 is?
The area under a normal curve with mu = 8 and sigma = 3 is
What must be done to a normal curve to make it into a standard normal distribution curve?
The mean must be 0 and the standard deviation must be 1. Use the formula: z = (x - mu)/sigma
The area under a normal curve with mu equals 15 and sigma equals 2 is?
It's just rock and roll...
A normal curve is determined by which two population parameters?
1. mu (population mean) 2. sigma (population standard deviation)
What is the area under a curve with mu equals 15 and sigma equals 2?
If the question is to do with a probability distribution curve, the answer is ONE - whatever the values of mu and sigma. The area under the curve of any probability distribution curve is 1.
What is the percent equivalent of 6 sigma?
If Six Sigma = 0.999999, then in percentage terms that would be 99.9999%.
95 percent is equal to what statistical limit?
95 percent is, statistically, 2 sigma.
What does six sigma training mean?
Six-sigma is a quality control program that strives for less than 3.4 defects in a million opportunities; or near perfection. In statistics, sigma represents areas under a bell curve (similar to IQ normal curves). If all defects fall outside the shaded area (outside three sigma on either side, where the center is perfect and all shaded areas are acceptable) there is very little shaded area (defects) left.
Why sigma is used in 6 sigma?
sigma represents standard deviation. In a normal distribution, +/- 1 sigma from the mean, for instance, corresponds to approximately 67% of the area under the normal distribution. +/- 2 sigma corrresponds to 95% of the area and +/- 3 sigma from the mean corresponds to 99% of the area under a normal distribution. The area that is covered under +/- six sigma from the mean corresponds to nearly 100% -- that is, the part of the area NOT under that +/- 6 sigma is in the 10^-15 range or 1/1,000,000,000,000,000. The six sigma name borrows from this to suggest that the method gives this degree of certainty: that in 999,999,999,999,999 in 1,000,000,000,000,000 cases the result will be predictable. It does nothing, however, to explain how an agricultural process management methodology applies to other fields.
What sigma pi secret handshake?
TAU PHI DELTA REPRESENT. SIGMA PI ALPHA UPSILON CH. THERES ONLY ONE WAY TO FIND OUT THE HANDSHAKE!!
What does the sigma symbol mean?
There are three sigma symbols, an upper case, a lower case and an end of the sentence case. The capital letter case is used as summation. The lower case is used to represent variance in statistics. The lower case is also used to represent stress in mechanics and physics. The end of sentence case is generally not used. Reference link: http://en.wikipedia.org/wiki/Sigma.
